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Problem 40. Use MATLAB's normedf command to approximate the quantity Q based on the distribution X....
numerical analysis
3. 135 points/ The following data have been recorded for a function f(a). 2 3 (2.4142 2.6734 2.8974 3.0976 3.2804 r5 Use Romberg's method to approximate f f(r)dr by completing the following table where R1,1 R2,1 R2.2 R3.1 R32 Rs3 Rki is the composite trapezoidal approximation of「f(x)dr when the interval [1,5) is Rk j-1 Rk-1J-1 for 2,3 and divided into n subinterval(s), and Rkjk-+411
3. 135 points/ The following data have been recorded for a function f(a). 2...
5)Evaluate f (x2-y)dr + (y2 +x)dy along a) a straight line from (0.1) to (1,2), b) straight lines from (0,1) to (1,1) and then from (1,1) to (1,2), c) the parabola z t,y 1
Use the rectangles to approximate the area of the region. f(x) = -x + 11 [1, 11] y 10 8 6 2 2 4 6 8 10 10 Х Give the exact area obtained using a definite integral. 10 x Need Help? Read it Watch It Talk to a Tutor Use the rectangles to approximate the area of the region. (Round your answer to three decimal places.) f(x) = 25 – x2, (-5,5) y 23 20 15 10 -6 2...
Problem 1. Consider the function f(x)- 3.12 show that f is Riemann integrable on [0.2] and use the definition to find .后f(x)dr Problem 2. Consider the function -2, zEQ 2, O f(r) = Show that f is not Riemann integrable on 0,1 but s Reemann integrable on this interval. Problem 3. (a) Let f be a real-valued function on a, b] such thatf()0 for all c, where c E [a, b Prove that f is Riemann integrable on a, b...
9. Let Q be the solid bounded by the cylinder x2 + y2 = 1 and the planes z = 0 and z = 1 . Use the Divergence Theorem to calculate | | F . N dS where s is the surface of Q and F(x, y, z) = xi + yj + zk. (a) 67T (d) 0 (b) 1 (e) None of these (c) 3π
9. Let Q be the solid bounded by the cylinder x2 + y2...
, Upper X 2, Upper X 3, and Upper X 4 are normally
distributed random variables: Upper X 1 tilde Upper N left
parenthesis 0 comma 0 right parenthesis, Upper X 2 tilde Upper N
left parenthesis 0 comma 1 right parenthesis, Upper X 3 tilde
Upper N left parenthesis 1 comma 0 right parenthesis, and Upper X
4 tilde Upper N left parenthesis 1 comma 1 right parenthesis.
X1, X2, X3, and X4 are normally distributed random variables: X1...
I 8. [6 points) Evaluate the line integral, dr where F(x, y) = 2xy i + (x2 - y2); and C is where is the are of the parabola y = z from (1,1) to (2,4). (Hint: You may view C as =2 y=?,ists 2.)
Please answer A to D. I need all of them
Q6) (Bonus question) Let Г-12(-y,z)-(P(z, y), Q(z, y)). a2 y2 (a) Compute , What are the domains of these functions? (b) Sketch the curve γ1 and 72 going from (1,0) to (-1,0) along the unit circle x2 + y2-1, where γ1 goes clockwise and 72 goes counterclockwise. Sketch a (e) Compite dr al ol hat they are't sal What happened? (d) Let 3 be the path consisting of three straight...
Please use R to solve question 1.
Question 1 5 pts Binomial distribution: X~Bi(n=15,p=0.3). Evaluate Pr(2<x<7) and round to three decimal places (see Lab 2). Question 2 5 pts Poisson distribution: X~Poisson(lambda=4.5). Evaluate Pr(X<11) and round to three decimal places. Question 3 5 pts Assume that X is normally distributed (X-N(0,1)). Find Pr(X=3).
Use Stokes' Theorem to find SC F. dr where F(x,y,z) = (-y, x,x) and C is the curve of intersection of the plane y = 2 and the paraboloid y + x2 + z2 = 6. Show all work. Please select file(s) Select file(s)